A further generalization of Yannelis-Prabhakar's continuous selection theorem and its applications

In this article, we first prove one improved version of the Yannelis-Prabhakar continuous selection theorem and next, as its applications, a fixed point theorem in noncompact product spaces, a nonempty intersection theorem, some existence theorems of solutions for the generalized quasi-variational inequalities, and some equilibrium existence theorems for the abstract economies are given. (C) 1996 Academic Press, Inc.